30 points and Brainliest! Given: ΔLFP, LF = FP LK ⊥ FP , PD ⊥ LF Prove: LK = PD
Please provide proof and the rule (AAA, ASA, etc.) as well.

LF = PF                   given

ΔLFP is isosceles   definition of isosceles triangle

∠FLP = ∠FPL          isosceles triangle theorem: if two sides of a triangle are

                               congruent, then angles opposite those sides are

                               congruent.

LP = PL                    reflexive property

∠PDL = ∠LKP          Perpendicular lines postulate (perpendicular lines form 90

                                degree angles)

ΔPDL ≅ ΔLKP         AAS

LK = PD                    corresponding parts of congruent triangles are congruent